Comprehensive AP Calculus AB/
From 60.81 C$ /h
I specialize in tutoting calculus to international school students as well as national schools in Switzerland and Italy.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
The subject of the classes is the entire AP calculus program:
1) Limits and continuity:
- Graphing and interpreting graphs (pre-calculus).
- Limits and continuity. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.
- Intermediate Value Theorem and Extreme Value Theorem.
- Vertical, horizontal, and oblique asymptotes. Limits involving infinity.
2) Derivates and rates of change:
- Limit definition of the derivative and its relationship to continuity.
- Derivative rules including the Power Rule, Product Rule, Quotient Rule, and Chain Rule.
- Slope and tangent lines.
- Linear approximation and differentials.
- Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.
- Higher order derivatives.
- Implicit Differentiation.
- Analysis of Graphs based on both pre-calculus methods and derivative information. This includes finding intervals of increase/decrease, relative minima/maxima, intervals of concavity, and inflection points.
- Mean value theorem and Rolle’s Theorem.
- Applications of derivatives, including optimization and related rates.
- Elementary differential equations and slope fields.
3) Integrals and Areas:
- Antidifferentiation and indefinite integrals.
- Techniques of antidifferentiation, including power rule, algebraic manipulation, and substitution.
- Finite Riemann sums and their limits. Relationship to definite integrals.
- The Fundamental Theorem of Calculus and definite integrals.
- Trapezoid Rule and other methods for estimating area.
- Exact area below a curve or between two curves, using definite integrals.
- Volumes of solids of revolution, by washer method and shell method.
- Accumulation functions.
- Relationships between position, velocity, and acceleration using integrals.
- Average value of a function over an interval.
- Models for exponential growth and decay.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
The subject of the classes is the entire AP calculus program:
1) Limits and continuity:
- Graphing and interpreting graphs (pre-calculus).
- Limits and continuity. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.
- Intermediate Value Theorem and Extreme Value Theorem.
- Vertical, horizontal, and oblique asymptotes. Limits involving infinity.
2) Derivates and rates of change:
- Limit definition of the derivative and its relationship to continuity.
- Derivative rules including the Power Rule, Product Rule, Quotient Rule, and Chain Rule.
- Slope and tangent lines.
- Linear approximation and differentials.
- Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.
- Higher order derivatives.
- Implicit Differentiation.
- Analysis of Graphs based on both pre-calculus methods and derivative information. This includes finding intervals of increase/decrease, relative minima/maxima, intervals of concavity, and inflection points.
- Mean value theorem and Rolle’s Theorem.
- Applications of derivatives, including optimization and related rates.
- Elementary differential equations and slope fields.
3) Integrals and Areas:
- Antidifferentiation and indefinite integrals.
- Techniques of antidifferentiation, including power rule, algebraic manipulation, and substitution.
- Finite Riemann sums and their limits. Relationship to definite integrals.
- The Fundamental Theorem of Calculus and definite integrals.
- Trapezoid Rule and other methods for estimating area.
- Exact area below a curve or between two curves, using definite integrals.
- Volumes of solids of revolution, by washer method and shell method.
- Accumulation functions.
- Relationships between position, velocity, and acceleration using integrals.
- Average value of a function over an interval.
- Models for exponential growth and decay.
Location
At student's location :
- Around Zürich (Kreis 3), Switzerland
At teacher's location :
- Adliswil, Switzerland
Age
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Italian
Skills
Reviews
Availability of a typical week
(GMT -05:00)
New York
At teacher's location
At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
Topics can be:
- Introduction to the main topics of macroeconomics.
- Introduction to national accounting. Price index ad inflation.
- The goods market
- The financial market
- The IS-LM model
- The labor market
- The Phillips curve
- From short to long run: the AD-AS model and IS-LM-PC
- Introducing expectations into the IS-LM model
- Expectations, production, and economic policy
- Expectations and financial markets
- The open IS-LM model
- The goods and financial markets in an open economy
- Production, interest rate, and exchange rate
- Exchange rate regimes
- Economic policy in open economies
- Long-run growth. The Solow model.
Topics can be:
- Introduction to the main topics of macroeconomics.
- Introduction to national accounting. Price index ad inflation.
- The goods market
- The financial market
- The IS-LM model
- The labor market
- The Phillips curve
- From short to long run: the AD-AS model and IS-LM-PC
- Introducing expectations into the IS-LM model
- Expectations, production, and economic policy
- Expectations and financial markets
- The open IS-LM model
- The goods and financial markets in an open economy
- Production, interest rate, and exchange rate
- Exchange rate regimes
- Economic policy in open economies
- Long-run growth. The Solow model.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
During the classes, all program of the exam can be covered:
• Competition and Market Structures
• Consumers
• Demand
• Elasticity of Demand
• Entrepreneurs
• Government Failures/Public-Choice Analysis
• Income Distribution
• Market Failures
• Markets and Prices
• Price Ceilings and Floors
• Producers
• Profit
• Roles of Government
• Supply
During the classes, all program of the exam can be covered:
• Competition and Market Structures
• Consumers
• Demand
• Elasticity of Demand
• Entrepreneurs
• Government Failures/Public-Choice Analysis
• Income Distribution
• Market Failures
• Markets and Prices
• Price Ceilings and Floors
• Producers
• Profit
• Roles of Government
• Supply
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